Answer:
a₁ = - 24
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₇ = 2a₅ , then
a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )
- a₁ - 2d = 0 → (1)
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
Given [tex]S_{7}[/tex] = 84 , then
[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84
3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )
2a₁ + 6d = 24 → (2)
Thus we have 2 equations
- a₁ - 2d = 0 → (1)
2a₁ + 6d = 24 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate d
- 3a₁ - 6d = 0 → (3)
Add (2) and (3) term by term to eliminate d
- a₁ = 24 ( multiply both sides by - 1 )
a₁ = - 24
80 inches of snow over 10 days what is the rate and unit rate
Answer:
The rate is 80 in. : 10 days
The unit rate is 8 in. : 1 day
Step-by-step explanation:
Divide 80 by 10, you get 8 which is the amount of snow you would get in 1 day.
find the equation of the line that passes through a and b
Question: -3x – 10 = 32
Answer:
x = -14
Step-by-step explanation:
The first thing you are trying to do is get the x alone. so first you will look at 10 and do the opposite of the sign that you have. So you would take the -10 and make it +10. you would solve -10 + 10 and 32 + 10 because whatever you do to one side you do to the other. -10 +10= 0 and 32+10 = 42. Your equation now is -3x=42. we do not put -3x+0=42 because zero does not have a value. From here we would look at the -3x and do the opposite sign, which means dividing. whenever a number is next to x or any variable it is multiplication. For example, 7x is the same as 7*x. The opposite of multiplication is division. so we would do -3x/-3. We do 42/-3 because whatever we do to one side we do to the other. On the left side we are left with x then you add the equal sign and the quotient of 42/-3.
Answer: x = -14
The function f (x) = 6x + 13 defines a
sequence for x > 1. What are the first three
terms of the sequence?
Answer:
15, 21, 27
Step-by-step explanation:
Given the function :
f(x) = 6x + 13 ; which defines a sequence for x > 1
The first three terms of the sequence ;
x > 1 ;
Hence x = 2, 3, 4
The sequence :
f(2) = 6(2) + 3 = 12 + 3 = 15
f(3) = 6(3) + 3 = 18 + 3 = 21
f(4) = 6(4) + 3 = 24 + 3 = 27
The middle question. Any help would be nice
Answer:
"Nothing but net" won the game
Step-by-step explanation:
Answer:
they won
61 to 43
Step-by-step explanation:
While making desserts for a bake sale, Steve used 5/6 of a scoop of brown sugar as well as 1/6 of a scoop of white sugar. How much more brown sugar did Steve use?
Answer:
5/6 - 1/6 = 4/6 = 2/3
Step-by-step explanation:
Since both numbers' denominators are the same, all you have to do is minus normally on the top numbers. You would take the difference and put it on the same denominators. Finally simplify!
can you solve this problem
Answer:
78 people were originally on the boat
Step-by-step explanation:
Answer:
78 people started on the boat
Step-by-step explanation:
In triangle QRS, angle Q measures 33.7°, angle R measures 52.3°, and angle S measures 94º. Based on the information that is provided, which could be a correct set of sides for this set of angles?
O side QR = 7 cm. side RS = 10 cm , side QS = 12.6 cm
O side QR = 10 cm, side RS = 7 cm, side QS = 12.6 cm side
O QR = 12.6 cm, side RS = 10 cm, side QS = 7 cm
O side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm
You know, it's easier to draw it out to figure out the answer!
It's side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm. So, it's D. (last option)
Answer:
D
Step-by-step explanation:
I got it right on the test. 100%
A pair of jeans was 25% off the original price. The sale resulted in a $24 discount. What was the original cost of the jeans before the sale?
Answer:
The original cost of the jeans before the sale was 30$
Step-by-step explanation:
let America be America meaning
Answer:
Let America be America Again Analysis In Langston Hughe's poem “Let America be America Again” he talks about how America should return to the way that it was perceived to be in the dreams before America was truly America. Throughout the poem, he uses various methods to evoke the patriotic images and dreams that he feels America should and will eventually be. Hughes states that America is supposed to be a place of equality for everyone including both white and colored people.
Step-by-step explanation:
If it was helpful can I plz have a brainliest
Amelia and her brother had a snow day, so they played in the snow for 3 hours. During that time, it snowed another 4.8 inches. If the snow fell at a steady pace, how much snow fell each hour?
Answer:
1.6
Step-by-step explanation:
The amount of snow fell each hour is 1.6 inches per hour.
What is Unit Rate?Unit rate is the amount of one quantity for a unit amount of the other quantity.
In other words it compares 1 unit of some quantity with different amount of another quantity
Given that,
Time Amelia and her brother played in the snow = 3 hours
Amount of snow fell at that time = 4.8 inches
That is 4.8 inches of snow per 3 hours
We have to calculate the unit rate of the amount of snow falling in an hour.
Amount of snow in 1 hour = 4.8 / 3 = 1.6 inches per hour
Hence the 1.6 inches of snow is falling per hour.
To learn more about Unit Rate, click on the link :
https://brainly.com/question/11258929
#SPJ2
Macy drove her car to visit her uncle. She came part of the way home after her visit. This graph shows the distance Macy was from her home during the course of the day. During which part of the graph is Macy visiting her uncle?
Answer:
part 11
Step-by-step explanation:
B
Step-by-step explanation:
hope that help!
do positive numbers have negative square roots?
Pls someone help me please
2
1
3
5/8 = 0.625
1/3 = 0.3333...
17/24 = 0.70833333
At the supermarket, you can fill your own honey bear container. A customer buys 12 oz of honey for $5.40.
How much does honey cost per ounce?
How much honey can you buy per dollar? Round to the nearest hundredth.
Answer: a. $0.45; b. 2.22 oz
Step-by-step explanation:
From the question, we are informed that acustomer buys 12 oz of honey for $5.40.
a. How much does honey cost per ounce?
To calculate this, we divide $5.40 by 12oz. This will be:
= $5.40/12
= $0.45
b. How much honey can you buy per dollar?
Since 1 ounce cost $0.45, the number of honey that can be bought for $1 will be:
= $1/$0.45
= 2.22 oz
4x – x + 8 ≤ 35
What’s the answer
Answer:
x ≤ 9
Step-by-step explanation:
4x – x + 8 ≤ 35
3x + 8 ≤ 35
3x ≤ 27
x ≤ 9
Need help with this problemm
Answer:
60
Step-by-step explanation:
It is because all angles in an equilateral triangle add up to 180 degrees meaning that they are all equal. You can know its an equilateral triangle from the small lines an the sides meaning they are equal.
EMERGENCY! Please give me the correct answer!
Find the x-intercept of the graph of the linear equation y = 2x + 4.
Answer:
The x-intercept is -2
Step-by-step explanation:
PLEASE HELP!!!
Which of the following expressions is the prime factorization of 360?
A. 2 2 • 3 2 • 5
B. 2 4 • 3 • 5
C. 2 3 • 5 • 9
D. 2 3 • 3 2 • 5
Answer:
D. 2 3 • 3 2 • 5
Step-by-step explanation:
ig I need at least 20 characters to submit my answer. :)
Answer:
its d.
Step-by-step explanation:
PLEASE HELP!!!!! Match each equation with its slope
(I also have another question like his in my profile)
Answer: 1. E
2. B
3. C
4. F
5. D
6. A
Step-by-step explanation:
HELP MATH QUESTION!!
Answer:
The last answer is correct
Step-by-step explanation:
there is a 10 point slope in between 13 and 3
f(x) = -3/(2x-1) find the largest possible domain
round 79.6 to the nearest whole number
Answer:
80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
what are the common factors of 20 and 30
A. 1,2,5,10
B. 1,2,10
C. 1,10
D. 1,5,10
Answer:
D.
Step-by-step explanation:
Its D. Bruh
I drive at 55 miles per hour, and my trip will takr 5 hours. Proportional or non proportional
Answer:
Proportional
Step-by-step explanation:
Here, we want to know if the distance at the given time will be proportional
What we will do here is to simply divide the distance by the time
Mathematically, that will be 55 miles/ 5 hours = 11 miles / hour
So this means that in an hour, 11 miles will be traveled
This expression is proportional
Use the diagram and the given angle measure to find the other three measures.
m∠1=143∘
m∠2=
m∠3=
m∠4=
Answer:
angle 2 = 37⁰
angle 3 = 153⁰
angle 4 = 37⁰
Step-by-step explanation:
I guess this refers to two intersecting lines which form 4 angles.
Angles 1 and 2 are supplementary angles whose sum is 180⁰.
Angle 1 + angle 2 = 180⁰
143⁰ + angle 2 = 180⁰
angle 2 = 180⁰ - 143⁰
angle 2 = 37⁰
Angles 1 and 3 are vertical angles so do with angles 2 and 4. Therefore it is easy to find their measures because vertical angles are congruent in measures.
Hope this helps...
Answer:
m∠1 = 143°
m∠2 = 37°
m∠3 = 143°
m∠4 = 37°
What is the solution to this inequality?
X10
+7 > 10
A. X2 27
B. xs 83
C. xs 27
D. x2 83
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[tex] \frac{x}{9} + 7 \geqslant 10 \\ [/tex]
Subtract sides 7
[tex] \frac{x}{9} + 7 - 7 \geqslant 10 - 7 \\ [/tex]
[tex] \frac{x}{9} \geqslant 3 \\ [/tex]
Multiply sides by 9
[tex]9 \times \frac{x}{9} \geqslant 9 \times 3 \\ [/tex]
[tex]x \geqslant 27[/tex]
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Thus the correct answer is (( A )) .
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How many 1/8s are in 1 1/4
Please answer
Answer:
10
Step-by-step explanation:
Two 1/8 is a quarter
1/8 in decimal form is 0.125
0.125 x 10 = 1.25 a.k.a 1 1/4
I'm so sorry for the mistype
Answer:
Step-by-step explanation:
One eighth is one part of eight equal sections. Two eighths is one quarter and four eighths is a half. Eighths if you make them into quarters and then divide each quarter in half.
State the solutions of the equation |x| + 2 = 4.
I think thats 2
Because 2+2=4